0.09/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.11	% Command    : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.09/0.32	% Computer : n012.cluster.edu
0.09/0.32	% Model    : x86_64 x86_64
0.09/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.32	% Memory   : 8042.1875MB
0.09/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.32	% CPULimit   : 1920
0.09/0.32	% WCLimit    : 240
0.09/0.32	% DateTime   : Wed Jul 30 05:30:49 EDT 2025
0.09/0.32	% CPUTime    : 
0.16/0.44	Running higher-order theorem proving
0.16/0.47	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p
2.24/0.86	# Version: 3.0.0-ho
2.24/0.86	# Preprocessing class: HSLMSLSSLLLCHFA.
2.24/0.86	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
2.24/0.86	# Starting ehoh_best5 with 240s (1) cores
2.24/0.86	# Starting almost_fo_3_lam with 240s (1) cores
2.24/0.86	# Starting new_bool_5 with 240s (1) cores
2.24/0.86	# Starting pre_casc_3 with 240s (1) cores
2.24/0.86	# Starting ho_unfolding_8 with 240s (1) cores
2.24/0.86	# Starting new_ho_10_cnf2 with 240s (1) cores
2.24/0.86	# Starting new_bool_3 with 240s (1) cores
2.24/0.86	# Starting new_ho_5 with 240s (1) cores
2.24/0.86	# new_bool_3 with pid 1061 completed with status 0
2.24/0.86	# Result found by new_bool_3
2.24/0.86	# Preprocessing class: HSLMSLSSLLLCHFA.
2.24/0.86	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
2.24/0.86	# Starting ehoh_best5 with 240s (1) cores
2.24/0.86	# Starting almost_fo_3_lam with 240s (1) cores
2.24/0.86	# Starting new_bool_5 with 240s (1) cores
2.24/0.86	# Starting pre_casc_3 with 240s (1) cores
2.24/0.86	# Starting ho_unfolding_8 with 240s (1) cores
2.24/0.86	# Starting new_ho_10_cnf2 with 240s (1) cores
2.24/0.86	# Starting new_bool_3 with 240s (1) cores
2.24/0.86	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
2.24/0.86	# Search class: HGHSM-FSLM31-DHFMMSBN
2.24/0.86	# partial match(1): HGHSM-FSLM31-MHFMMSBN
2.24/0.86	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
2.24/0.86	# Starting new_ho_10_cnf2 with 130s (1) cores
2.24/0.86	# new_ho_10_cnf2 with pid 1066 completed with status 0
2.24/0.86	# Result found by new_ho_10_cnf2
2.24/0.86	# Preprocessing class: HSLMSLSSLLLCHFA.
2.24/0.86	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
2.24/0.86	# Starting ehoh_best5 with 240s (1) cores
2.24/0.86	# Starting almost_fo_3_lam with 240s (1) cores
2.24/0.86	# Starting new_bool_5 with 240s (1) cores
2.24/0.86	# Starting pre_casc_3 with 240s (1) cores
2.24/0.86	# Starting ho_unfolding_8 with 240s (1) cores
2.24/0.86	# Starting new_ho_10_cnf2 with 240s (1) cores
2.24/0.86	# Starting new_bool_3 with 240s (1) cores
2.24/0.86	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
2.24/0.86	# Search class: HGHSM-FSLM31-DHFMMSBN
2.24/0.86	# partial match(1): HGHSM-FSLM31-MHFMMSBN
2.24/0.86	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
2.24/0.86	# Starting new_ho_10_cnf2 with 130s (1) cores
2.24/0.86	# Preprocessing time       : 0.005 s
2.24/0.86	# Presaturation interreduction done
2.24/0.86	
2.24/0.86	# Proof found!
2.24/0.86	# SZS status Theorem
2.24/0.86	# SZS output start CNFRefutation
2.24/0.86	thf(decl_23, type, in: $i > $i > $o).
2.24/0.86	thf(decl_24, type, exu: ($i > $o) > $o).
2.24/0.86	thf(decl_25, type, setextAx: $o).
2.24/0.86	thf(decl_26, type, emptyset: $i).
2.24/0.86	thf(decl_27, type, emptysetAx: $o).
2.24/0.86	thf(decl_28, type, setadjoin: $i > $i > $i).
2.24/0.86	thf(decl_29, type, setadjoinAx: $o).
2.24/0.86	thf(decl_30, type, powerset: $i > $i).
2.24/0.86	thf(decl_31, type, powersetAx: $o).
2.24/0.86	thf(decl_32, type, setunion: $i > $i).
2.24/0.86	thf(decl_33, type, setunionAx: $o).
2.24/0.86	thf(decl_34, type, omega: $i).
2.24/0.86	thf(decl_35, type, omega0Ax: $o).
2.24/0.86	thf(decl_36, type, omegaSAx: $o).
2.24/0.86	thf(decl_37, type, omegaIndAx: $o).
2.24/0.86	thf(decl_38, type, replAx: $o).
2.24/0.86	thf(decl_39, type, foundationAx: $o).
2.24/0.86	thf(decl_40, type, wellorderingAx: $o).
2.24/0.86	thf(decl_41, type, descr: ($i > $o) > $i).
2.24/0.86	thf(decl_42, type, descrp: $o).
2.24/0.86	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
2.24/0.86	thf(decl_44, type, dsetconstrI: $o).
2.24/0.86	thf(decl_45, type, dsetconstrEL: $o).
2.24/0.86	thf(decl_46, type, dsetconstrER: $o).
2.24/0.86	thf(decl_47, type, exuE1: $o).
2.24/0.86	thf(decl_48, type, prop2set: $o > $i).
2.24/0.86	thf(decl_49, type, prop2setE: $o).
2.24/0.86	thf(decl_50, type, emptysetE: $o).
2.24/0.86	thf(decl_51, type, emptysetimpfalse: $o).
2.24/0.86	thf(decl_52, type, notinemptyset: $o).
2.24/0.86	thf(decl_53, type, exuE3e: $o).
2.24/0.86	thf(decl_54, type, setext: $o).
2.24/0.86	thf(decl_55, type, emptyI: $o).
2.24/0.86	thf(decl_56, type, noeltsimpempty: $o).
2.24/0.86	thf(decl_57, type, setbeta: $o).
2.24/0.86	thf(decl_58, type, nonempty: $i > $o).
2.24/0.86	thf(decl_59, type, nonemptyE1: $o).
2.24/0.86	thf(decl_60, type, nonemptyI: $o).
2.24/0.86	thf(decl_61, type, nonemptyI1: $o).
2.24/0.86	thf(decl_62, type, setadjoinIL: $o).
2.24/0.86	thf(decl_63, type, emptyinunitempty: $o).
2.24/0.86	thf(decl_64, type, setadjoinIR: $o).
2.24/0.86	thf(decl_65, type, setadjoinE: $o).
2.24/0.86	thf(decl_66, type, setadjoinOr: $o).
2.24/0.86	thf(decl_67, type, setoftrueEq: $o).
2.24/0.86	thf(decl_68, type, powersetI: $o).
2.24/0.86	thf(decl_69, type, emptyinPowerset: $o).
2.24/0.86	thf(decl_70, type, emptyInPowerset: $o).
2.24/0.86	thf(decl_71, type, powersetE: $o).
2.24/0.86	thf(decl_72, type, setunionI: $o).
2.24/0.86	thf(decl_73, type, setunionE: $o).
2.24/0.86	thf(decl_74, type, subPowSU: $o).
2.24/0.86	thf(decl_75, type, exuE2: $o).
2.24/0.86	thf(decl_76, type, nonemptyImpWitness: $o).
2.24/0.86	thf(decl_77, type, uniqinunit: $o).
2.24/0.86	thf(decl_78, type, notinsingleton: $o).
2.24/0.86	thf(decl_79, type, eqinunit: $o).
2.24/0.86	thf(decl_80, type, singletonsswitch: $o).
2.24/0.86	thf(decl_81, type, upairsetE: $o).
2.24/0.86	thf(decl_82, type, upairsetIL: $o).
2.24/0.86	thf(decl_83, type, upairsetIR: $o).
2.24/0.86	thf(decl_84, type, emptyE1: $o).
2.24/0.86	thf(decl_85, type, vacuousDall: $o).
2.24/0.86	thf(decl_86, type, quantDeMorgan1: $o).
2.24/0.86	thf(decl_87, type, quantDeMorgan2: $o).
2.24/0.86	thf(decl_88, type, quantDeMorgan3: $o).
2.24/0.86	thf(decl_89, type, quantDeMorgan4: $o).
2.24/0.86	thf(decl_90, type, prop2setI: $o).
2.24/0.86	thf(decl_92, type, prop2set2propI: $o).
2.24/0.86	thf(decl_93, type, notdexE: $o).
2.24/0.86	thf(decl_94, type, notdallE: $o).
2.24/0.86	thf(decl_95, type, exuI1: $o).
2.24/0.86	thf(decl_96, type, exuI3: $o).
2.24/0.86	thf(decl_97, type, exuI2: $o).
2.24/0.86	thf(decl_98, type, inCongP: $o).
2.24/0.86	thf(decl_99, type, in__Cong: $o).
2.24/0.86	thf(decl_100, type, exuE3u: $o).
2.24/0.86	thf(decl_101, type, exu__Cong: $o).
2.24/0.86	thf(decl_102, type, emptyset__Cong: $o).
2.24/0.86	thf(decl_103, type, setadjoin__Cong: $o).
2.24/0.86	thf(decl_104, type, powerset__Cong: $o).
2.24/0.86	thf(decl_105, type, setunion__Cong: $o).
2.24/0.86	thf(decl_106, type, omega__Cong: $o).
2.24/0.86	thf(decl_107, type, exuEu: $o).
2.24/0.86	thf(decl_108, type, descr__Cong: $o).
2.24/0.86	thf(decl_109, type, dsetconstr__Cong: $o).
2.24/0.86	thf(decl_110, type, subset: $i > $i > $o).
2.24/0.86	thf(decl_113, type, subsetI1: $o).
2.24/0.86	thf(decl_114, type, eqimpsubset2: $o).
2.24/0.86	thf(decl_115, type, eqimpsubset1: $o).
2.24/0.86	thf(decl_116, type, subsetI2: $o).
2.24/0.86	thf(decl_117, type, emptysetsubset: $o).
2.24/0.86	thf(decl_118, type, subsetE: $o).
2.24/0.86	thf(decl_119, type, subsetE2: $o).
2.24/0.86	thf(decl_120, type, notsubsetI: $o).
2.24/0.86	thf(decl_121, type, notequalI1: $o).
2.24/0.86	thf(decl_122, type, notequalI2: $o).
2.24/0.86	thf(decl_123, type, subsetRefl: $o).
2.24/0.86	thf(decl_124, type, subsetTrans: $o).
2.24/0.86	thf(decl_125, type, setadjoinSub: $o).
2.24/0.86	thf(decl_126, type, setadjoinSub2: $o).
2.24/0.86	thf(decl_127, type, subset2powerset: $o).
2.24/0.86	thf(decl_128, type, setextsub: $o).
2.24/0.86	thf(decl_129, type, subsetemptysetimpeq: $o).
2.24/0.86	thf(decl_130, type, powersetI1: $o).
2.24/0.86	thf(decl_131, type, powersetE1: $o).
2.24/0.86	thf(decl_132, type, inPowerset: $o).
2.24/0.86	thf(decl_133, type, powersetsubset: $o).
2.24/0.86	thf(decl_134, type, sepInPowerset: $o).
2.24/0.86	thf(decl_135, type, sepSubset: $o).
2.24/0.86	thf(decl_136, type, binunion: $i > $i > $i).
2.24/0.86	thf(decl_137, type, binunionIL: $o).
2.24/0.86	thf(decl_138, type, upairset2IR: $o).
2.24/0.86	thf(decl_139, type, binunionIR: $o).
2.24/0.86	thf(decl_140, type, binunionEcases: $o).
2.24/0.86	thf(decl_141, type, binunionE: $o).
2.24/0.86	thf(decl_142, type, binunionLsub: $o).
2.24/0.86	thf(decl_143, type, binunionRsub: $o).
2.24/0.86	thf(decl_144, type, binintersect: $i > $i > $i).
2.24/0.86	thf(decl_145, type, binintersectI: $o).
2.24/0.86	thf(decl_146, type, binintersectSubset5: $o).
2.24/0.86	thf(decl_147, type, binintersectEL: $o).
2.24/0.86	thf(decl_148, type, binintersectLsub: $o).
2.24/0.86	thf(decl_149, type, binintersectSubset2: $o).
2.24/0.86	thf(decl_150, type, binintersectSubset3: $o).
2.24/0.86	thf(decl_151, type, binintersectER: $o).
2.24/0.86	thf(decl_152, type, disjointsetsI1: $o).
2.24/0.86	thf(decl_153, type, binintersectRsub: $o).
2.24/0.86	thf(decl_154, type, binintersectSubset4: $o).
2.24/0.86	thf(decl_155, type, binintersectSubset1: $o).
2.24/0.86	thf(decl_156, type, bs114d: $o).
2.24/0.86	thf(decl_158, type, setminus: $i > $i > $i).
2.24/0.86	thf(decl_159, type, setminusI: $o).
2.24/0.86	thf(decl_160, type, setminusEL: $o).
2.24/0.86	thf(decl_161, type, setminusER: $o).
2.24/0.86	thf(decl_162, type, setminusSubset2: $o).
2.24/0.86	thf(decl_163, type, setminusERneg: $o).
2.24/0.86	thf(decl_164, type, setminusELneg: $o).
2.24/0.86	thf(decl_165, type, setminusILneg: $o).
2.24/0.86	thf(decl_166, type, setminusIRneg: $o).
2.24/0.86	thf(decl_167, type, setminusLsub: $o).
2.24/0.86	thf(decl_168, type, setminusSubset1: $o).
2.24/0.86	thf(decl_169, type, symdiff: $i > $i > $i).
2.24/0.86	thf(decl_170, type, symdiffE: $o).
2.24/0.86	thf(decl_171, type, symdiffI1: $o).
2.24/0.86	thf(decl_172, type, symdiffI2: $o).
2.24/0.86	thf(decl_173, type, symdiffIneg1: $o).
2.24/0.86	thf(decl_174, type, symdiffIneg2: $o).
2.24/0.86	thf(decl_175, type, iskpair: $i > $o).
2.24/0.86	thf(decl_176, type, secondinupair: $o).
2.24/0.86	thf(decl_177, type, setukpairIL: $o).
2.24/0.86	thf(decl_178, type, setukpairIR: $o).
2.24/0.86	thf(decl_179, type, kpairiskpair: $o).
2.24/0.86	thf(decl_180, type, kpair: $i > $i > $i).
2.24/0.86	thf(decl_181, type, kpairp: $o).
2.24/0.86	thf(decl_182, type, cartprod: $i > $i > $i).
2.24/0.86	thf(decl_183, type, singletonsubset: $o).
2.24/0.86	thf(decl_184, type, singletoninpowerset: $o).
2.24/0.86	thf(decl_185, type, singletoninpowunion: $o).
2.24/0.86	thf(decl_186, type, upairset2E: $o).
2.24/0.86	thf(decl_187, type, upairsubunion: $o).
2.24/0.86	thf(decl_188, type, upairinpowunion: $o).
2.24/0.86	thf(decl_189, type, ubforcartprodlem1: $o).
2.24/0.86	thf(decl_190, type, ubforcartprodlem2: $o).
2.24/0.86	thf(decl_191, type, ubforcartprodlem3: $o).
2.24/0.86	thf(decl_192, type, cartprodpairin: $o).
2.24/0.86	thf(decl_193, type, epred1_0: $o).
2.24/0.86	thf(decl_194, type, esk1_2: $i > $i > $i).
2.24/0.86	thf(decl_195, type, esk2_2: $i > $i > $i).
2.24/0.86	thf(decl_196, type, esk3_2: $i > $i > $i).
2.24/0.86	thf(decl_197, type, esk4_1: $i > $i).
2.24/0.86	thf(decl_198, type, esk5_2: ($i > $i > $o) > $i > $i).
2.24/0.86	thf(decl_199, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
2.24/0.86	thf(decl_200, type, esk7_2: ($i > $i > $o) > $i > $i).
2.24/0.86	thf(decl_201, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
2.24/0.86	thf(decl_202, type, esk9_1: $i > $i).
2.24/0.86	thf(decl_203, type, esk10_2: ($i > $o) > $i > $i).
2.24/0.86	thf(decl_204, type, esk11_2: ($i > $o) > $i > $i).
2.24/0.86	thf(decl_205, type, esk12_1: ($i > $o) > $i).
2.24/0.86	thf(decl_206, type, esk13_2: ($i > $o) > $i > $i).
2.24/0.86	thf(decl_207, type, esk14_1: ($i > $o) > $i).
2.24/0.86	thf(decl_208, type, esk15_2: $i > $i > $i).
2.24/0.86	thf(decl_209, type, esk16_2: $i > $i > $i).
2.24/0.86	thf(decl_210, type, esk17_1: $i > $i).
2.24/0.86	thf(decl_211, type, esk18_1: $i > $i).
2.24/0.86	thf(decl_212, type, esk19_1: $i > $i).
2.24/0.86	thf(decl_213, type, esk20_2: $i > $i > $i).
2.24/0.86	thf(decl_214, type, esk21_3: $i > $i > $o > $i).
2.24/0.86	thf(decl_215, type, esk22_2: ($i > $o) > $i > $i).
2.24/0.86	thf(decl_216, type, esk23_1: ($i > $o) > $i).
2.24/0.86	thf(decl_217, type, esk24_1: $i > $i).
2.24/0.86	thf(decl_218, type, esk25_2: $i > ($i > $o) > $i).
2.24/0.86	thf(decl_219, type, esk26_2: $i > ($i > $o) > $i).
2.24/0.86	thf(decl_220, type, esk27_2: $i > ($i > $o) > $i).
2.24/0.86	thf(decl_221, type, esk28_2: $i > ($i > $o) > $i).
2.24/0.86	thf(decl_222, type, esk29_2: $i > ($i > $o) > $i).
2.24/0.86	thf(decl_223, type, esk30_2: $i > ($i > $o) > $i).
2.24/0.86	thf(decl_224, type, esk31_2: ($i > $o) > $i > $i).
2.24/0.86	thf(decl_225, type, esk32_1: ($i > $o) > $i).
2.24/0.86	thf(decl_226, type, esk33_1: ($i > $o) > $i).
2.24/0.86	thf(decl_227, type, esk34_1: ($i > $o) > $i).
2.24/0.86	thf(decl_228, type, esk35_1: ($i > $o) > $i).
2.24/0.86	thf(decl_229, type, esk36_2: ($i > $o) > $i > $i).
2.24/0.86	thf(decl_230, type, esk37_1: ($i > $o) > $i).
2.24/0.86	thf(decl_231, type, esk38_2: ($i > $o) > $i > $i).
2.24/0.86	thf(decl_232, type, esk39_2: ($i > $o) > ($i > $o) > $i).
2.24/0.86	thf(decl_233, type, esk40_2: ($i > $o) > ($i > $o) > $i).
2.24/0.86	thf(decl_234, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
2.24/0.86	thf(decl_235, type, esk42_2: ($i > $o) > ($i > $o) > $i).
2.24/0.86	thf(decl_236, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
2.24/0.86	thf(decl_237, type, esk44_2: ($i > $o) > ($i > $o) > $i).
2.24/0.86	thf(decl_238, type, esk45_2: ($i > $o) > $i > $i).
2.24/0.86	thf(decl_239, type, esk46_2: ($i > $o) > ($i > $o) > $i).
2.24/0.86	thf(decl_240, type, esk47_2: ($i > $o) > ($i > $o) > $i).
2.24/0.86	thf(decl_241, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
2.24/0.86	thf(decl_242, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
2.24/0.86	thf(decl_243, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
2.24/0.86	thf(decl_244, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
2.24/0.86	thf(decl_245, type, esk52_2: $i > $i > $i).
2.24/0.86	thf(decl_246, type, esk53_2: $i > $i > $i).
2.24/0.86	thf(decl_247, type, esk54_2: $i > $i > $i).
2.24/0.86	thf(decl_248, type, esk55_2: $i > $i > $i).
2.24/0.86	thf(decl_249, type, esk56_2: $i > $i > $i).
2.24/0.86	thf(decl_250, type, esk57_2: $i > $i > $i).
2.24/0.86	thf(decl_251, type, esk58_2: $i > $i > $i).
2.24/0.86	thf(decl_252, type, esk59_0: $i).
2.24/0.86	thf(decl_253, type, esk60_0: $i).
2.24/0.86	thf(decl_254, type, esk61_0: $i).
2.24/0.86	thf(decl_260, type, esk67_0: $i).
2.24/0.86	thf(decl_261, type, esk68_0: $i).
2.24/0.86	thf(cartprod, axiom, ((cartprod)=(^[X4:$i, X5:$i]:(dsetconstr @ (powerset @ (powerset @ (binunion @ X4 @ X5))) @ (^[X2:$i]:(?[X3:$i]:(((in @ X3 @ X4)&?[X14:$i]:(((in @ X14 @ X5)&((X2)=(kpair @ X3 @ X14))))))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', cartprod)).
2.24/0.86	thf(kpair, axiom, ((kpair)=(^[X2:$i, X3:$i]:(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', kpair)).
2.24/0.86	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', nonempty)).
2.24/0.86	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', exuE3e)).
2.24/0.86	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', exu)).
2.24/0.86	thf(iskpair, axiom, ((iskpair)=(^[X4:$i]:(?[X2:$i]:(((in @ X2 @ (setunion @ X4))&?[X3:$i]:(((in @ X3 @ (setunion @ X4))&((X4)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', iskpair)).
2.24/0.86	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', descr__Cong)).
2.24/0.86	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', exuI2)).
2.24/0.86	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', exuI1)).
2.24/0.86	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', exuEu)).
2.24/0.86	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', exu__Cong)).
2.24/0.86	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', exuE3u)).
2.24/0.86	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', exuI3)).
2.24/0.86	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', exuE2)).
2.24/0.86	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', nonemptyI)).
2.24/0.86	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', exuE1)).
2.24/0.86	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', descrp)).
2.24/0.86	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', replAx)).
2.24/0.86	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', nonemptyImpWitness)).
2.24/0.86	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setbeta)).
2.24/0.86	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', dsetconstrER)).
2.24/0.86	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', dsetconstrEL)).
2.24/0.86	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', dsetconstrI)).
2.24/0.86	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', kpairiskpair)).
2.24/0.86	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', kpairp)).
2.24/0.86	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', ubforcartprodlem3)).
2.24/0.86	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', cartprodpairin)).
2.24/0.86	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', sepSubset)).
2.24/0.86	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', sepInPowerset)).
2.24/0.86	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', emptyE1)).
2.24/0.86	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', dsetconstr__Cong)).
2.24/0.86	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setoftrueEq)).
2.24/0.86	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', nonemptyI1)).
2.24/0.86	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', nonemptyE1)).
2.24/0.86	thf(cartprodmempair1, conjecture, (((((powersetAx)=>((((omegaSAx)=>((omegaIndAx)=>((replAx)=>((((descrp)=>(((((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((((setext)=>(((noeltsimpempty)=>(((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>(((setadjoinIR)=>(((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((((((setunionE)=>((subPowSU)=>((exuE2)=>(((uniqinunit)=>((((singletonsswitch)=>((((upairsetIR)=>((((((quantDeMorgan3)=>(((prop2setI)=>(((notdexE)=>((((exuI3)=>(((((exuE3u)=>((exu__Cong)=>(((((((exuEu)=>(((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>(((emptysetsubset)=>(((subsetE2)=>(((notequalI1)=>((((((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>(((powersetE1)=>(((powersetsubset)=>((((binunionIL)=>((upairset2IR)=>((binunionIR)=>((((binunionLsub)=>(((((binintersectEL)=>((((((disjointsetsI1)=>((binintersectRsub)=>(((binintersectSubset1)=>(((((setminusER)=>(((((((setminusLsub)=>((setminusSubset1)=>(((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>(((kpairiskpair)=>((kpairp)=>((((singletoninpowunion)=>((((upairinpowunion)=>((ubforcartprodlem1)=>(((ubforcartprodlem3)=>(![X4:$i, X5:$i, X18:$i]:((?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:((((X18)=(kpair @ X2 @ X3))&(in @ X3 @ X5)))))<=(in @ X18 @ (cartprod @ X4 @ X5))))<=(cartprodpairin)))<=(ubforcartprodlem2))))<=(upairsubunion))<=(upairset2E)))<=(singletoninpowerset))<=(singletonsubset))))<=(setukpairIR))))))))<=(symdiffE))))<=(setminusIRneg))<=(setminusILneg))<=(setminusELneg))<=(setminusERneg))<=(setminusSubset2)))<=(setminusEL))<=(setminusI))<=(bs114d)))<=(binintersectSubset4))))<=(binintersectER))<=(binintersectSubset3))<=(binintersectSubset2))<=(binintersectLsub)))<=(binintersectSubset5))<=(binintersectI))<=(binunionRsub)))<=(binunionE))<=(binunionEcases)))))<=(sepSubset))<=(sepInPowerset)))<=(inPowerset)))<=(powersetI1))))))<=(setadjoinSub))<=(subsetTrans))<=(subsetRefl))<=(notequalI2)))<=(notsubsetI)))<=(subsetE)))<=(subsetI2))))))<=(descr__Cong)))<=(omega__Cong))<=(setunion__Cong))<=(powerset__Cong))<=(setadjoin__Cong))<=(emptyset__Cong))))<=(in__Cong))<=(inCongP))<=(exuI2)))<=(exuI1))<=(notdallE)))<=(prop2set2propI)))<=(quantDeMorgan4)))<=(quantDeMorgan2))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1)))<=(upairsetIL))<=(upairsetE)))<=(eqinunit))<=(notinsingleton)))<=(nonemptyImpWitness)))))<=(setunionI))<=(powersetE))<=(emptyInPowerset))<=(emptyinPowerset)))))<=(setadjoinE)))<=(emptyinunitempty))))))<=(setbeta)))<=(emptyI)))<=(exuE3e))<=(notinemptyset))))))<=(dsetconstrER))<=(dsetconstrEL))<=(dsetconstrI)))<=(wellorderingAx))<=(foundationAx)))))<=(omega0Ax))<=(setunionAx)))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', cartprodmempair1)).
2.24/0.86	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setextAx)).
2.24/0.86	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', notequalI1)).
2.24/0.86	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setunionI)).
2.24/0.86	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', subsetemptysetimpeq)).
2.24/0.86	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', powersetE)).
2.24/0.86	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', emptyInPowerset)).
2.24/0.86	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', powersetE1)).
2.24/0.86	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', emptyinPowerset)).
2.24/0.86	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setadjoinE)).
2.24/0.86	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', emptyinunitempty)).
2.24/0.86	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', powersetsubset)).
2.24/0.86	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', emptyI)).
2.24/0.86	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binunionIL)).
2.24/0.86	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', notinemptyset)).
2.24/0.86	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', upairset2IR)).
2.24/0.86	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', wellorderingAx)).
2.24/0.86	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binunionIR)).
2.24/0.86	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', foundationAx)).
2.24/0.86	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', omega0Ax)).
2.24/0.86	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setunionAx)).
2.24/0.86	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binunionLsub)).
2.24/0.86	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setadjoinAx)).
2.24/0.86	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', emptysetAx)).
2.24/0.86	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binintersectEL)).
2.24/0.86	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setadjoinSub2)).
2.24/0.86	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', disjointsetsI1)).
2.24/0.86	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', subset2powerset)).
2.24/0.86	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binintersectRsub)).
2.24/0.86	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binintersectSubset1)).
2.24/0.86	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setminusER)).
2.24/0.86	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setminusLsub)).
2.24/0.86	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setminusSubset1)).
2.24/0.86	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', symdiffI1)).
2.24/0.86	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', symdiffI2)).
2.24/0.86	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', symdiffIneg1)).
2.24/0.86	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', symdiffIneg2)).
2.24/0.86	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', secondinupair)).
2.24/0.86	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setukpairIL)).
2.24/0.86	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', inPowerset)).
2.24/0.86	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', powersetI1)).
2.24/0.86	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setadjoinSub)).
2.24/0.86	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', subsetTrans)).
2.24/0.86	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', subsetRefl)).
2.24/0.86	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', notequalI2)).
2.24/0.86	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', singletoninpowunion)).
2.24/0.86	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', upairinpowunion)).
2.24/0.86	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', ubforcartprodlem1)).
2.24/0.86	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', ubforcartprodlem2)).
2.24/0.86	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', upairsubunion)).
2.24/0.86	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setextsub)).
2.24/0.86	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', upairset2E)).
2.24/0.86	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', singletoninpowerset)).
2.24/0.86	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', singletonsubset)).
2.24/0.86	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setukpairIR)).
2.24/0.86	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', symdiffE)).
2.24/0.86	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setminusIRneg)).
2.24/0.86	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setminusILneg)).
2.24/0.86	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setminusELneg)).
2.24/0.86	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setminusERneg)).
2.24/0.86	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setminusSubset2)).
2.24/0.86	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setminusEL)).
2.24/0.86	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setminusI)).
2.24/0.86	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', bs114d)).
2.24/0.86	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binintersectSubset4)).
2.24/0.86	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binintersectER)).
2.24/0.86	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binintersectSubset3)).
2.24/0.86	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binintersectSubset2)).
2.24/0.86	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binintersectLsub)).
2.24/0.86	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binintersectSubset5)).
2.24/0.86	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binintersectI)).
2.24/0.86	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binunionRsub)).
2.24/0.86	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binunionE)).
2.24/0.86	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', binunionEcases)).
2.24/0.86	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', notsubsetI)).
2.24/0.86	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', subsetE)).
2.24/0.86	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', subsetI2)).
2.24/0.86	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', omega__Cong)).
2.24/0.86	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setunion__Cong)).
2.24/0.86	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', powerset__Cong)).
2.24/0.86	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setadjoin__Cong)).
2.24/0.86	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', emptyset__Cong)).
2.24/0.86	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', in__Cong)).
2.24/0.86	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', inCongP)).
2.24/0.86	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', notdallE)).
2.24/0.86	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', quantDeMorgan4)).
2.24/0.86	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', quantDeMorgan2)).
2.24/0.86	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', quantDeMorgan1)).
2.24/0.86	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', vacuousDall)).
2.24/0.86	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', upairsetIL)).
2.24/0.86	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', upairsetE)).
2.24/0.86	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', eqinunit)).
2.24/0.86	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', notinsingleton)).
2.24/0.86	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', subsetE2)).
2.24/0.86	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', emptysetsubset)).
2.24/0.86	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', eqimpsubset1)).
2.24/0.86	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', eqimpsubset2)).
2.24/0.86	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', subsetI1)).
2.24/0.86	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', notdexE)).
2.24/0.86	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', prop2setI)).
2.24/0.86	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', quantDeMorgan3)).
2.24/0.86	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', upairsetIR)).
2.24/0.86	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', singletonsswitch)).
2.24/0.86	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', uniqinunit)).
2.24/0.86	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', subPowSU)).
2.24/0.86	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setunionE)).
2.24/0.86	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', powersetI)).
2.24/0.86	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setadjoinOr)).
2.24/0.86	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setadjoinIR)).
2.24/0.86	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setadjoinIL)).
2.24/0.87	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', noeltsimpempty)).
2.24/0.87	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', setext)).
2.24/0.87	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', emptysetimpfalse)).
2.24/0.87	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', emptysetE)).
2.24/0.87	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', prop2setE)).
2.24/0.87	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', omegaIndAx)).
2.24/0.87	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', omegaSAx)).
2.24/0.87	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.FwIgM6ZbsH/E---3.1_940.p', powersetAx)).
2.24/0.87	thf(c_0_152, plain, ((cartprod)=(^[Z0/* 19 */:$i, Z1:$i]:(dsetconstr @ (powerset @ (powerset @ (binunion @ Z0 @ Z1))) @ (^[Z2/* 5 */:$i]:(?[X3:$i]:(((in @ X3 @ Z0)&?[X14:$i]:(((in @ X14 @ Z1)&((Z2)=(setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X14 @ emptyset)) @ emptyset)))))))))))), inference(fof_simplification,[status(thm)],[cartprod])).
2.24/0.87	thf(c_0_153, plain, ((kpair)=(^[Z0/* 19 */:$i, Z1:$i]:(setadjoin @ (setadjoin @ Z0 @ emptyset) @ (setadjoin @ (setadjoin @ Z0 @ (setadjoin @ Z1 @ emptyset)) @ emptyset)))), inference(fof_simplification,[status(thm)],[kpair])).
2.24/0.87	thf(c_0_154, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
2.24/0.87	thf(c_0_155, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
2.24/0.87	thf(c_0_156, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
2.24/0.87	thf(c_0_157, plain, ((iskpair)=(^[Z0/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ (setunion @ Z0))&?[X3:$i]:(((in @ X3 @ (setunion @ Z0))&((Z0)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))), inference(fof_simplification,[status(thm)],[iskpair])).
2.24/0.87	thf(c_0_158, plain, ((cartprod)=(^[Z0/* 19 */:$i, Z1:$i]:(dsetconstr @ (powerset @ (powerset @ (binunion @ Z0 @ Z1))) @ (^[Z2/* 5 */:$i]:(?[X3:$i]:(((in @ X3 @ Z0)&?[X14:$i]:(((in @ X14 @ Z1)&((Z2)=(setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X14 @ emptyset)) @ emptyset)))))))))))), inference(apply_def,[status(thm)],[c_0_152, c_0_153])).
2.24/0.87	thf(c_0_159, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
2.24/0.87	thf(c_0_160, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
2.24/0.87	thf(c_0_161, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
2.24/0.87	thf(c_0_162, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
2.24/0.87	thf(c_0_163, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
2.24/0.87	thf(c_0_164, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
2.24/0.87	thf(c_0_165, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
2.24/0.87	thf(c_0_166, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
2.24/0.87	thf(c_0_167, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
2.24/0.87	thf(c_0_168, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
2.24/0.87	thf(c_0_169, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
2.24/0.87	thf(c_0_170, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
2.24/0.87	thf(c_0_171, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_154])).
2.24/0.87	thf(c_0_172, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
2.24/0.87	thf(c_0_173, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X429:$i]:((((X1 @ X429))&![X430:$i]:((((X1 @ X430))=>((X429)=(X430)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_155, c_0_156])).
2.24/0.87	thf(c_0_174, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
2.24/0.87	thf(c_0_175, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
2.24/0.87	thf(c_0_176, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
2.24/0.87	thf(c_0_177, axiom, ((kpairiskpair)=(![X2:$i, X3:$i]:((?[X451:$i]:(((in @ X451 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))&?[X452:$i]:(((in @ X452 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X451 @ emptyset) @ (setadjoin @ (setadjoin @ X451 @ (setadjoin @ X452 @ emptyset)) @ emptyset))))))))))), inference(apply_def,[status(thm)],[kpairiskpair, c_0_157])).
2.24/0.87	thf(c_0_178, axiom, ((kpairp)=(![X2:$i, X3:$i]:((?[X453:$i]:(((in @ X453 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))&?[X454:$i]:(((in @ X454 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X453 @ emptyset) @ (setadjoin @ (setadjoin @ X453 @ (setadjoin @ X454 @ emptyset)) @ emptyset))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[kpairp, c_0_153]), c_0_157])).
2.24/0.87	thf(c_0_179, axiom, ((ubforcartprodlem3)=(![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5)))))))))), inference(apply_def,[status(thm)],[ubforcartprodlem3, c_0_153])).
2.24/0.87	thf(c_0_180, axiom, ((cartprodpairin)=(![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (dsetconstr @ (powerset @ (powerset @ (binunion @ X4 @ X5))) @ (^[Z0/* 5 */:$i]:(?[X455:$i]:(((in @ X455 @ X4)&?[X456:$i]:(((in @ X456 @ X5)&((Z0)=(setadjoin @ (setadjoin @ X455 @ emptyset) @ (setadjoin @ (setadjoin @ X455 @ (setadjoin @ X456 @ emptyset)) @ emptyset))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[cartprodpairin, c_0_153]), c_0_158])).
2.24/0.87	thf(c_0_181, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
2.24/0.87	thf(c_0_182, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
2.24/0.87	thf(c_0_183, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X447:$i]:((((X1 @ X447))&![X448:$i]:((((X1 @ X448))=>((X447)=(X448)))))))=>((?[X449:$i]:((((X17 @ X449))&![X450:$i]:((((X17 @ X450))=>((X449)=(X450)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_159, c_0_156])).
2.24/0.87	thf(c_0_184, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X437:$i]:((((X1 @ X437))&![X438:$i]:((((X1 @ X438))=>((X437)=(X438))))))))))), inference(apply_def,[status(thm)],[c_0_160, c_0_156])).
2.24/0.87	thf(c_0_185, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X433:$i]:((((X1 @ X433))&![X434:$i]:((((X1 @ X434))=>((X433)=(X434))))))))))), inference(apply_def,[status(thm)],[c_0_161, c_0_156])).
2.24/0.87	thf(c_0_186, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
2.24/0.87	thf(c_0_187, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
2.24/0.87	thf(c_0_188, plain, ((exuEu)=(![X1:$i > $o]:(((?[X445:$i]:((((X1 @ X445))&![X446:$i]:((((X1 @ X446))=>((X445)=(X446)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_162, c_0_156])).
2.24/0.87	thf(c_0_189, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X441:$i]:((((X1 @ X441))&![X442:$i]:((((X1 @ X442))=>((X441)=(X442)))))))<=>(?[X443:$i]:((((X17 @ X443))&![X444:$i]:((((X17 @ X444))=>((X443)=(X444)))))))))))), inference(apply_def,[status(thm)],[c_0_163, c_0_156])).
2.24/0.87	thf(c_0_190, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X439:$i]:((((X1 @ X439))&![X440:$i]:((((X1 @ X440))=>((X439)=(X440)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_164, c_0_156])).
2.24/0.87	thf(c_0_191, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X435:$i]:((((X1 @ X435))&![X436:$i]:((((X1 @ X436))=>((X435)=(X436)))))))))))), inference(apply_def,[status(thm)],[c_0_165, c_0_156])).
2.24/0.87	thf(c_0_192, plain, ((exuE2)=(![X1:$i > $o]:(((?[X431:$i]:((((X1 @ X431))&![X432:$i]:((((X1 @ X432))=>((X431)=(X432)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_166, c_0_156])).
2.24/0.87	thf(c_0_193, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
2.24/0.87	thf(c_0_194, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_154])).
2.24/0.87	thf(c_0_195, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_167, c_0_154])).
2.24/0.87	thf(c_0_196, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_154])).
2.24/0.87	thf(c_0_197, plain, ((exuE1)=(![X1:$i > $o]:(((?[X427:$i]:((((X1 @ X427))&![X428:$i]:((((X1 @ X428))=>((X427)=(X428)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_168, c_0_156])).
2.24/0.87	thf(c_0_198, plain, ((descrp)=(![X1:$i > $o]:(((?[X425:$i]:((((X1 @ X425))&![X426:$i]:((((X1 @ X426))=>((X425)=(X426)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_169, c_0_156])).
2.24/0.87	thf(c_0_199, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X423:$i]:((((X6 @ X2 @ X423))&![X424:$i]:((((X6 @ X2 @ X424))=>((X423)=(X424)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_170, c_0_156])).
2.24/0.87	thf(c_0_200, plain, ((epred1_0)<=>![X857:$i]:(?[X858:$i]:((((![X859:$i]:(((in @ X859 @ X858)=>![X860:$i]:(((in @ X860 @ X859)=>(in @ X860 @ X857)))))&![X861:$i, X862:$i]:((((in @ X861 @ X857)&(in @ X862 @ X857))=>(![X863:$i]:(((in @ X863 @ X858)=>((in @ X861 @ X863)<=>(in @ X862 @ X863))))=>((X861)=(X862))))))&![X864:$i, X865:$i]:((((in @ X864 @ X858)&(in @ X865 @ X858))=>(![X866:$i]:(((in @ X866 @ X864)=>(in @ X866 @ X865)))|![X867:$i]:(((in @ X867 @ X865)=>(in @ X867 @ X864)))))))&![X868:$i]:(((![X869:$i]:(((in @ X869 @ X868)=>(in @ X869 @ X857)))&?[X870:$i]:((in @ X870 @ X868)))=>?[X871:$i, X872:$i]:(((((in @ X871 @ X858)&(in @ X872 @ X868))&~(?[X873:$i]:(((in @ X873 @ X871)&(in @ X873 @ X868)))))&![X874:$i]:(((in @ X874 @ X858)=>(![X875:$i]:(((in @ X875 @ X874)=>(in @ X875 @ X871)))|(in @ X872 @ X874)))))))))))), introduced(definition)).
2.24/0.87	thf(c_0_201, negated_conjecture, ~((![X887:$i, X888:$i]:((![X889:$i]:(((in @ X889 @ X887)<=>(in @ X889 @ X888)))=>((X887)=(X888))))=>(![X886:$i]:(~(in @ X886 @ emptyset))=>(![X883:$i, X884:$i, X885:$i]:(((in @ X885 @ (setadjoin @ X883 @ X884))<=>(((X885)=(X883))|(in @ X885 @ X884))))=>(![X457:$i, X458:$i]:(((in @ X458 @ (powerset @ X457))<=>![X459:$i]:(((in @ X459 @ X458)=>(in @ X459 @ X457)))))=>(![X880:$i, X881:$i]:(((in @ X881 @ (setunion @ X880))<=>?[X882:$i]:(((in @ X881 @ X882)&(in @ X882 @ X880)))))=>((in @ emptyset @ omega)=>(![X460:$i]:(((in @ X460 @ omega)=>(in @ (setadjoin @ X460 @ X460) @ omega)))=>(![X461:$i]:((((in @ emptyset @ X461)&![X462:$i]:((((in @ X462 @ omega)&(in @ X462 @ X461))=>(in @ (setadjoin @ X462 @ X462) @ X461))))=>![X463:$i]:(((in @ X463 @ omega)=>(in @ X463 @ X461)))))=>(![X464:$i > $i > $o, X465:$i]:((![X466:$i]:(((in @ X466 @ X465)=>?[X467:$i]:(((X464 @ X466 @ X467)&![X468:$i]:(((X464 @ X466 @ X468)=>((X467)=(X468))))))))=>?[X469:$i]:(![X470:$i]:(((in @ X470 @ X469)<=>?[X471:$i]:(((in @ X471 @ X465)&(X464 @ X471 @ X470))))))))=>(![X876:$i]:((?[X877:$i]:((in @ X877 @ X876))=>?[X878:$i]:(((in @ X878 @ X876)&~(?[X879:$i]:(((in @ X879 @ X878)&(in @ X879 @ X876))))))))=>((epred1_0)=>(![X472:$i > $o]:((?[X473:$i]:(((X472 @ X473)&![X474:$i]:(((X472 @ X474)=>((X473)=(X474))))))=>(X472 @ (descr @ (^[Z0/* 17 */:$i]:(X472 @ Z0))))))=>(![X854:$i, X855:$i > $o, X856:$i]:(((in @ X856 @ X854)=>((X855 @ X856)=>(in @ X856 @ (dsetconstr @ X854 @ X855)))))=>(![X851:$i, X852:$i > $o, X853:$i]:(((in @ X853 @ (dsetconstr @ X851 @ X852))=>(in @ X853 @ X851)))=>(![X848:$i, X849:$i > $o, X850:$i]:(((in @ X850 @ (dsetconstr @ X848 @ X849))=>(X849 @ X850)))=>(![X475:$i > $o]:((?[X476:$i]:(((X475 @ X476)&![X477:$i]:(((X475 @ X477)=>((X476)=(X477))))))=>?[X478:$i]:(((X475 @ X478)&![X479:$i]:(((X475 @ X479)=>((X478)=(X479))))))))=>(![X480:$o, X481:$i]:(((in @ X481 @ (prop2set @ ((X480))))=>(X480)))=>(![X482:$i]:(((in @ X482 @ emptyset)=>![X483:$o]:((X483))))=>(![X484:$i]:(((in @ X484 @ emptyset)=>~($true)))=>(![X847:$i]:(~(in @ X847 @ emptyset))=>(![X843:$i > $o]:((?[X844:$i]:(((X843 @ X844)&![X845:$i]:(((X843 @ X845)=>((X844)=(X845))))))=>?[X846:$i]:((X843 @ X846))))=>(![X485:$i, X486:$i]:((![X487:$i]:(((in @ X487 @ X485)=>(in @ X487 @ X486)))=>(![X488:$i]:(((in @ X488 @ X486)=>(in @ X488 @ X485)))=>((X485)=(X486)))))=>(![X841:$i]:((![X842:$i]:(~(in @ X842 @ X841))=>((X841)=(emptyset))))=>(![X489:$i]:((![X490:$i]:(~(in @ X490 @ X489))=>((X489)=(emptyset))))=>(![X838:$i, X839:$i > $o, X840:$i]:(((in @ X840 @ X838)=>((in @ X840 @ (dsetconstr @ X838 @ X839))<=>(X839 @ X840))))=>(![X491:$i]:((((X491)!=(emptyset))=>?[X492:$i]:((in @ X492 @ X491))))=>(![X493:$i, X494:$i > $o, X495:$i]:(((in @ X495 @ X493)=>((X494 @ X495)=>((dsetconstr @ X493 @ X494)!=(emptyset)))))=>(![X496:$i]:((?[X497:$i]:((in @ X497 @ X496))=>((X496)!=(emptyset))))=>(![X498:$i, X499:$i]:((in @ X498 @ (setadjoin @ X498 @ X499)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X500:$i, X501:$i, X502:$i]:(((in @ X502 @ X501)=>(in @ X502 @ (setadjoin @ X500 @ X501))))=>(![X834:$i, X835:$i, X836:$i]:(((in @ X836 @ (setadjoin @ X834 @ X835))=>![X837:$o]:(((((X836)=(X834))=>(X837))=>(((in @ X836 @ X835)=>(X837))=>(X837))))))=>(![X503:$i, X504:$i, X505:$i]:(((in @ X505 @ (setadjoin @ X503 @ X504))=>(((X505)=(X503))|(in @ X505 @ X504))))=>(![X506:$i]:(((dsetconstr @ X506 @ (^[Z0/* 1 */:$i]:($true)))=(X506)))=>(![X507:$i, X508:$i]:((![X509:$i]:(((in @ X509 @ X508)=>(in @ X509 @ X507)))=>(in @ X508 @ (powerset @ X507))))=>(![X833:$i]:((in @ emptyset @ (powerset @ X833)))=>(![X832:$i]:((in @ emptyset @ (powerset @ X832)))=>(![X829:$i, X830:$i, X831:$i]:(((in @ X830 @ (powerset @ X829))=>((in @ X831 @ X830)=>(in @ X831 @ X829))))=>(![X826:$i, X827:$i, X828:$i]:(((in @ X827 @ X828)=>((in @ X828 @ X826)=>(in @ X827 @ (setunion @ X826)))))=>(![X510:$i, X511:$i]:(((in @ X511 @ (setunion @ X510))=>![X512:$o]:((![X513:$i]:(((in @ X511 @ X513)=>((in @ X513 @ X510)=>(X512))))=>(X512)))))=>(![X514:$i, X515:$i]:(((in @ X515 @ X514)=>(in @ X515 @ (powerset @ (setunion @ X514)))))=>(![X516:$i > $o]:((?[X517:$i]:(((X516 @ X517)&![X518:$i]:(((X516 @ X518)=>((X517)=(X518))))))=>?[X519:$i]:(![X520:$i]:(((X516 @ X520)<=>((X520)=(X519)))))))=>(![X824:$i]:((((X824)!=(emptyset))=>?[X825:$i]:(((in @ X825 @ X824)&$true))))=>(![X521:$i, X522:$i]:(((in @ X521 @ (setadjoin @ X522 @ emptyset))=>((X521)=(X522))))=>(![X822:$i, X823:$i]:((((X822)!=(X823))=>~(in @ X823 @ (setadjoin @ X822 @ emptyset))))=>(![X820:$i, X821:$i]:((((X820)=(X821))=>(in @ X820 @ (setadjoin @ X821 @ emptyset))))=>(![X523:$i, X524:$i]:(((in @ X523 @ (setadjoin @ X524 @ emptyset))=>(in @ X524 @ (setadjoin @ X523 @ emptyset))))=>(![X817:$i, X818:$i, X819:$i]:(((in @ X819 @ (setadjoin @ X817 @ (setadjoin @ X818 @ emptyset)))=>(((X819)=(X817))|((X819)=(X818)))))=>(![X815:$i, X816:$i]:((in @ X815 @ (setadjoin @ X815 @ (setadjoin @ X816 @ emptyset))))=>(![X525:$i, X526:$i]:((in @ X526 @ (setadjoin @ X525 @ (setadjoin @ X526 @ emptyset))))=>(![X812:$i, X813:$i > $o]:((?[X814:$i]:(((in @ X814 @ X812)&(X813 @ X814)))=>(((dsetconstr @ X812 @ X813)=(emptyset))=>~($true))))=>(![X810:$i > $o, X811:$i]:(((in @ X811 @ emptyset)=>(X810 @ X811)))=>(![X806:$i, X807:$i > $o]:((~(![X808:$i]:(((in @ X808 @ X806)=>(X807 @ X808))))=>?[X809:$i]:(((in @ X809 @ X806)&~((X807 @ X809))))))=>(![X802:$i, X803:$i > $o]:((![X804:$i]:(((in @ X804 @ X802)=>~((X803 @ X804))))=>~(?[X805:$i]:(((in @ X805 @ X802)&(X803 @ X805))))))=>(![X527:$i, X528:$i > $o]:((~(?[X529:$i]:(((in @ X529 @ X527)&(X528 @ X529))))=>![X530:$i]:(((in @ X530 @ X527)=>~((X528 @ X530))))))=>(![X798:$i, X799:$i > $o]:((?[X800:$i]:(((in @ X800 @ X798)&~((X799 @ X800))))=>~(![X801:$i]:(((in @ X801 @ X798)=>(X799 @ X801))))))=>(![X531:$o]:(((X531)=>(in @ emptyset @ (prop2set @ ((X531))))))=>((prop2set2propI)=>(![X532:$i, X533:$i > $o]:((~(?[X534:$i]:(((in @ X534 @ X532)&(X533 @ X534))))=>![X535:$i]:(((in @ X535 @ X532)=>~((X533 @ X535))))))=>(![X794:$i, X795:$i > $o]:((~(![X796:$i]:(((in @ X796 @ X794)=>(X795 @ X796))))=>?[X797:$i]:(((in @ X797 @ X794)&~((X795 @ X797))))))=>(![X789:$i > $o]:((?[X790:$i]:(((X789 @ X790)&![X791:$i]:(((X789 @ X791)=>((X790)=(X791))))))=>?[X792:$i]:(((X789 @ X792)&![X793:$i]:(((X789 @ X793)=>((X792)=(X793))))))))=>(![X536:$i > $o]:((?[X537:$i]:((X536 @ X537))=>(![X538:$i, X539:$i]:(((X536 @ X538)=>((X536 @ X539)=>((X538)=(X539)))))=>?[X540:$i]:(((X536 @ X540)&![X541:$i]:(((X536 @ X541)=>((X540)=(X541)))))))))=>(![X784:$i > $o]:((?[X785:$i]:(![X786:$i]:(((X784 @ X786)<=>((X786)=(X785)))))=>?[X787:$i]:(((X784 @ X787)&![X788:$i]:(((X784 @ X788)=>((X787)=(X788))))))))=>(![X780:$i, X781:$i]:((((X780)=(X781))=>![X782:$i, X783:$i]:((((X782)=(X783))=>((in @ X782 @ X780)=>(in @ X783 @ X781))))))=>(![X776:$i, X777:$i]:((((X776)=(X777))=>![X778:$i, X779:$i]:((((X778)=(X779))=>((in @ X778 @ X776)<=>(in @ X779 @ X777))))))=>(![X542:$i > $o]:((?[X543:$i]:(((X542 @ X543)&![X544:$i]:(((X542 @ X544)=>((X543)=(X544))))))=>![X545:$i, X546:$i]:(((X542 @ X545)=>((X542 @ X546)=>((X545)=(X546)))))))=>(![X547:$i > $o, X548:$i > $o]:((![X549:$i, X550:$i]:((((X549)=(X550))=>((X547 @ X549)<=>(X548 @ X550))))=>(?[X551:$i]:(((X547 @ X551)&![X552:$i]:(((X547 @ X552)=>((X551)=(X552))))))<=>?[X553:$i]:(((X548 @ X553)&![X554:$i]:(((X548 @ X554)=>((X553)=(X554)))))))))=>(((emptyset)=(emptyset))=>(![X772:$i, X773:$i]:((((X772)=(X773))=>![X774:$i, X775:$i]:((((X774)=(X775))=>((setadjoin @ X772 @ X774)=(setadjoin @ X773 @ X775))))))=>(![X770:$i, X771:$i]:((((X770)=(X771))=>((powerset @ X770)=(powerset @ X771))))=>(![X768:$i, X769:$i]:((((X768)=(X769))=>((setunion @ X768)=(setunion @ X769))))=>(((omega)=(omega))=>(![X555:$i > $o]:((?[X556:$i]:(((X555 @ X556)&![X557:$i]:(((X555 @ X557)=>((X556)=(X557))))))=>![X558:$i, X559:$i]:(((X555 @ X558)=>((X555 @ X559)=>((X558)=(X559)))))))=>(![X760:$i > $o, X761:$i > $o]:((![X762:$i, X763:$i]:((((X762)=(X763))=>((X760 @ X762)<=>(X761 @ X763))))=>(?[X764:$i]:(((X760 @ X764)&![X765:$i]:(((X760 @ X765)=>((X764)=(X765))))))=>(?[X766:$i]:(((X761 @ X766)&![X767:$i]:(((X761 @ X767)=>((X766)=(X767))))))=>((descr @ X760)=(descr @ X761))))))=>(![X560:$i, X561:$i]:((((X560)=(X561))=>![X562:$i > $o, X563:$i > $o]:((![X564:$i]:(((in @ X564 @ X560)=>![X565:$i]:(((in @ X565 @ X561)=>(((X564)=(X565))=>((X562 @ X564)<=>(X563 @ X565)))))))=>((dsetconstr @ X560 @ X562)=(dsetconstr @ X561 @ X563))))))=>(![X566:$i, X567:$i]:((![X568:$i]:(((in @ X568 @ X566)=>(in @ X568 @ X567)))=>(subset @ X566 @ X567)))=>(![X569:$i, X570:$i]:((((X569)=(X570))=>(subset @ X570 @ X569)))=>(![X571:$i, X572:$i]:((((X571)=(X572))=>(subset @ X571 @ X572)))=>(![X757:$i, X758:$i]:((![X759:$i]:(((in @ X759 @ X757)=>(in @ X759 @ X758)))=>(subset @ X757 @ X758)))=>(![X573:$i]:((subset @ emptyset @ X573))=>(![X754:$i, X755:$i, X756:$i]:(((subset @ X754 @ X755)=>((in @ X756 @ X754)=>(in @ 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setukpairIR]), symdiffE]), setminusIRneg]), setminusILneg]), setminusELneg]), setminusERneg]), setminusSubset2]), setminusEL]), setminusI]), bs114d]), binintersectSubset4]), binintersectER]), binintersectSubset3]), binintersectSubset2]), binintersectLsub]), binintersectSubset5]), binintersectI]), binunionRsub]), binunionE]), binunionEcases]), c_0_181]), c_0_182]), notsubsetI]), subsetE]), subsetI2]), c_0_183]), omega__Cong]), setunion__Cong]), powerset__Cong]), setadjoin__Cong]), emptyset__Cong]), in__Cong]), inCongP]), c_0_184]), c_0_185]), notdallE]), quantDeMorgan4]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), c_0_186]), upairsetIL]), upairsetE]), eqinunit]), notinsingleton]), subsetE2]), emptysetsubset]), eqimpsubset1]), eqimpsubset2]), subsetI1]), c_0_187]), c_0_188]), c_0_189]), c_0_190]), c_0_191]), notdexE]), prop2setI]), quantDeMorgan3]), upairsetIR]), singletonsswitch]), uniqinunit]), c_0_192]), subPowSU]), setunionE]), powersetI]), c_0_193]), setadjoinOr]), setadjoinIR]), setadjoinIL]), c_0_194]), c_0_195]), c_0_196]), noeltsimpempty]), setext]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_197]), c_0_198]), c_0_199]), omegaIndAx]), omegaSAx]), powersetAx])])]), c_0_200])).
2.24/0.87	thf(c_0_202, negated_conjecture, ![X890:$i, X891:$i, X893:$i, X894:$i, X895:$i, X896:$i, X897:$i, X898:$i, X899:$i, X900:$i, X901:$i, X903:$i, X904:$i, X906:$i, X907:$i, X908:$i, X909:$i, X910:$i, X912:$i, X913:$i > $i > $o, X914:$i, X916:$i, X919:$i, X921:$i, X922:$i, X923:$i, X924:$i, X926:$i, X927:$i > $o, X928:$i, X930:$i, X931:$i > $o, X932:$i, X933:$i, X934:$i > $o, X935:$i, X936:$i, X937:$i > $o, X938:$i, X939:$i > $o, X940:$i, X943:$i, X944:$o, X945:$i, X946:$i, X947:$o, X948:$i, X949:$i, X950:$i > $o, X951:$i, X954:$i, X955:$i, X958:$i, X960:$i, X962:$i, X963:$i > $o, X964:$i, X965:$i, X967:$i, X968:$i > $o, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$o, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X986:$i, X988:$i, X989:$i, X990:$i, X991:$i, X992:$i, X993:$i, X994:$i, X995:$i, X996:$i, X997:$i, X998:$o, X1000:$i, X1001:$i, X1002:$i > $o, X1003:$i, X1006:$i, X1007:$i, X1008:$i, X1010:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$i > $o, X1027:$i, X1028:$i > $o, X1029:$i, X1030:$i, X1031:$i > $o, X1032:$i, X1034:$i, X1035:$i > $o, X1037:$i, X1038:$i, X1039:$i > $o, X1041:$i, X1042:$i, X1043:$i > $o, X1044:$i, X1046:$o, X1047:$i, X1048:$i > $o, X1050:$i, X1051:$i, X1052:$i > $o, X1053:$i, X1055:$i > $o, X1056:$i, X1059:$i, X1060:$i > $o, X1061:$i, X1065:$i, X1066:$i > $o, X1067:$i, X1070:$i, X1071:$i, X1072:$i, X1073:$i, X1074:$i, X1075:$i, X1076:$i, X1077:$i, X1078:$i, X1079:$i > $o, X1080:$i, X1082:$i, X1083:$i, X1084:$i > $o, X1085:$i > $o, X1088:$i, X1091:$i, X1092:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i > $o, X1105:$i, X1107:$i, X1108:$i, X1109:$i > $o, X1110:$i > $o, X1113:$i, X1115:$i, X1117:$i, X1118:$i, X1119:$i > $o, X1120:$i > $o, X1123:$i, X1124:$i, X1126:$i, X1127:$i, X1128:$i, X1129:$i, X1130:$i, X1131:$i, X1133:$i, X1134:$i, X1135:$i, X1136:$i, X1137:$i, X1138:$i, X1139:$i, X1140:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1148:$i, X1149:$i, X1150:$i, X1151:$i, X1152:$i, X1153:$i, X1154:$i, X1155:$i, X1156:$i, X1157:$i, X1158:$i, X1159:$i, X1160:$i, X1161:$i, X1162:$i, X1163:$i, X1164:$i, X1165:$i, X1166:$i, X1167:$i, X1168:$i, X1169:$i, X1170:$i > $o, X1171:$i, X1172:$i > $o, X1173:$i, X1174:$i, X1175:$i, X1176:$i, X1177:$i, X1178:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$o, X1185:$i, X1186:$i, X1187:$i, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1192:$i, X1193:$i, X1194:$i, X1195:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$i, X1200:$i, X1201:$i, X1202:$i, X1203:$i, X1204:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1211:$i, X1213:$i, X1214:$i, X1215:$i, X1216:$i, X1217:$i, X1218:$i, X1219:$i, X1220:$i, X1221:$i, X1222:$i, X1223:$i, X1224:$i, X1225:$i, X1226:$i, X1227:$i, X1228:$i, X1229:$i, X1230:$i, X1231:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1239:$i, X1240:$i, X1241:$i, X1242:$i, X1243:$i, X1244:$i, X1245:$i, X1246:$i, X1247:$i, X1248:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$o, X1253:$i, X1254:$i, X1255:$i, X1256:$i, X1257:$i, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1264:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i, X1269:$i, X1270:$i, X1271:$i, X1272:$i, X1275:$i, X1276:$i, X1279:$i, X1280:$i, X1281:$i, X1282:$i, X1283:$i, X1284:$i, X1285:$i, X1286:$i, X1287:$i, X1288:$i, X1289:$i, X1290:$i, X1291:$i, X1292:$i, X1293:$i, X1294:$i, X1295:$i, X1296:$i, X1297:$i, X1298:$i, X1299:$i, X1300:$i, X1301:$i, X1302:$i, X1303:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1316:$i, X1317:$i]:((((~(in @ (esk1_2 @ X890 @ X891) @ X890)|~(in @ (esk1_2 @ X890 @ X891) @ X891)|((X890)=(X891)))&((in @ (esk1_2 @ X890 @ X891) @ X890)|(in @ (esk1_2 @ X890 @ X891) @ X891)|((X890)=(X891))))&(~(in @ X893 @ emptyset)&(((~(in @ X896 @ (setadjoin @ X894 @ X895))|(((X896)=(X894))|(in @ X896 @ X895)))&((((X896)!=(X894))|(in @ X896 @ (setadjoin @ X894 @ X895)))&(~(in @ X896 @ X895)|(in @ X896 @ (setadjoin @ X894 @ X895)))))&(((~(in @ X898 @ (powerset @ X897))|(~(in @ X899 @ X898)|(in @ X899 @ X897)))&(((in @ (esk2_2 @ X900 @ X901) @ X901)|(in @ X901 @ (powerset @ X900)))&(~(in @ (esk2_2 @ X900 @ X901) @ X900)|(in @ X901 @ (powerset @ X900)))))&(((((in @ X904 @ (esk3_2 @ X903 @ X904))|~(in @ X904 @ (setunion @ X903)))&((in @ (esk3_2 @ X903 @ X904) @ X903)|~(in @ X904 @ (setunion @ X903))))&(~(in @ X907 @ X908)|~(in @ X908 @ X906)|(in @ X907 @ (setunion @ X906))))&((in @ emptyset @ omega)&((~(in @ X909 @ omega)|(in @ (setadjoin @ X909 @ X909) @ omega))&(((((in @ (esk4_1 @ X910) @ omega)|~(in @ emptyset @ X910)|(~(in @ X912 @ omega)|(in @ X912 @ X910)))&((in @ (esk4_1 @ X910) @ X910)|~(in @ emptyset @ X910)|(~(in @ X912 @ omega)|(in @ X912 @ X910))))&(~(in @ (setadjoin @ (esk4_1 @ X910) @ (esk4_1 @ X910)) @ X910)|~(in @ emptyset @ X910)|(~(in @ X912 @ omega)|(in @ X912 @ X910))))&((((((in @ (esk8_3 @ X913 @ X914 @ X919) @ X914)|~(in @ X919 @ (esk7_2 @ X913 @ X914))|(in @ (esk5_2 @ X913 @ X914) @ X914))&((X913 @ (esk8_3 @ X913 @ X914 @ X919) @ X919)|~(in @ X919 @ (esk7_2 @ X913 @ X914))|(in @ (esk5_2 @ X913 @ X914) @ X914)))&(~(in @ X922 @ X914)|~(X913 @ X922 @ X921)|(in @ X921 @ (esk7_2 @ X913 @ X914))|(in @ (esk5_2 @ X913 @ X914) @ X914)))&(((((in @ (esk8_3 @ X913 @ X914 @ X919) @ X914)|~(in @ X919 @ (esk7_2 @ X913 @ X914))|((X913 @ (esk5_2 @ X913 @ X914) @ (esk6_3 @ X913 @ X914 @ X916))|~(X913 @ (esk5_2 @ X913 @ X914) @ X916)))&((X913 @ (esk8_3 @ X913 @ X914 @ X919) @ X919)|~(in @ X919 @ (esk7_2 @ X913 @ X914))|((X913 @ (esk5_2 @ X913 @ X914) @ (esk6_3 @ X913 @ X914 @ X916))|~(X913 @ (esk5_2 @ X913 @ X914) @ X916))))&(~(in @ X922 @ X914)|~(X913 @ X922 @ X921)|(in @ X921 @ (esk7_2 @ X913 @ X914))|((X913 @ (esk5_2 @ X913 @ X914) @ (esk6_3 @ X913 @ X914 @ X916))|~(X913 @ (esk5_2 @ X913 @ X914) @ X916))))&((((in @ (esk8_3 @ X913 @ X914 @ X919) @ X914)|~(in @ X919 @ (esk7_2 @ X913 @ X914))|(((X916)!=(esk6_3 @ X913 @ X914 @ X916))|~(X913 @ (esk5_2 @ X913 @ X914) @ X916)))&((X913 @ (esk8_3 @ X913 @ X914 @ X919) @ X919)|~(in @ X919 @ (esk7_2 @ X913 @ X914))|(((X916)!=(esk6_3 @ X913 @ X914 @ X916))|~(X913 @ (esk5_2 @ X913 @ X914) @ X916))))&(~(in @ X922 @ X914)|~(X913 @ X922 @ X921)|(in @ X921 @ (esk7_2 @ X913 @ X914))|(((X916)!=(esk6_3 @ X913 @ X914 @ X916))|~(X913 @ (esk5_2 @ X913 @ X914) @ X916))))))&((((in @ (esk9_1 @ X923) @ X923)|~(in @ X924 @ X923))&(~(in @ X926 @ (esk9_1 @ X923))|~(in @ X926 @ X923)|~(in @ X924 @ X923)))&((epred1_0)&((((X927 @ (esk10_2 @ X927 @ X928))|~(X927 @ X928)|(X927 @ (descr @ X927)))&(((X928)!=(esk10_2 @ X927 @ X928))|~(X927 @ X928)|(X927 @ (descr @ X927))))&((~(in @ X932 @ X930)|(~(X931 @ X932)|(in @ X932 @ (dsetconstr @ X930 @ X931))))&((~(in @ X935 @ (dsetconstr @ X933 @ X934))|(in @ X935 @ X933))&((~(in @ X938 @ (dsetconstr @ X936 @ X937))|(X937 @ X938))&(((((X939 @ (esk12_1 @ X939))|((X939 @ (esk11_2 @ X939 @ X940))|~(X939 @ X940)))&(~(X939 @ X943)|((esk12_1 @ X939)=(X943))|((X939 @ (esk11_2 @ X939 @ X940))|~(X939 @ X940))))&(((X939 @ (esk12_1 @ X939))|(((X940)!=(esk11_2 @ X939 @ X940))|~(X939 @ X940)))&(~(X939 @ X943)|((esk12_1 @ X939)=(X943))|(((X940)!=(esk11_2 @ X939 @ X940))|~(X939 @ X940)))))&((~(in @ X945 @ (prop2set @ ((X944))))|(X944))&((~(in @ X946 @ emptyset)|(X947))&((~(in @ X948 @ emptyset)|~($true))&(~(in @ X949 @ emptyset)&((((X950 @ (esk13_2 @ X950 @ X951))|~(X950 @ X951)|(X950 @ (esk14_1 @ X950)))&(((X951)!=(esk13_2 @ X950 @ X951))|~(X950 @ X951)|(X950 @ (esk14_1 @ X950))))&(((((in @ (esk16_2 @ X954 @ X955) @ X955)|((X954)=(X955))|(in @ (esk15_2 @ X954 @ X955) @ X954))&(~(in @ (esk16_2 @ X954 @ X955) @ X954)|((X954)=(X955))|(in @ (esk15_2 @ X954 @ X955) @ X954)))&(((in @ (esk16_2 @ X954 @ X955) @ X955)|((X954)=(X955))|~(in @ (esk15_2 @ X954 @ X955) @ X955))&(~(in @ (esk16_2 @ X954 @ X955) @ X954)|((X954)=(X955))|~(in @ (esk15_2 @ X954 @ X955) @ X955))))&(((in @ (esk17_1 @ X958) @ X958)|((X958)=(emptyset)))&(((in @ (esk18_1 @ X960) @ X960)|((X960)=(emptyset)))&(((~(in @ X964 @ (dsetconstr @ X962 @ X963))|(X963 @ X964)|~(in @ X964 @ X962))&(~(X963 @ X964)|(in @ X964 @ (dsetconstr @ X962 @ X963))|~(in @ X964 @ X962)))&((((X965)=(emptyset))|(in @ (esk19_1 @ X965) @ X965))&((~(in @ X969 @ X967)|(~(X968 @ X969)|((dsetconstr @ X967 @ X968)!=(emptyset))))&((~(in @ X971 @ X970)|((X970)!=(emptyset)))&((in @ X972 @ (setadjoin @ X972 @ X973))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X976 @ X975)|(in @ X976 @ (setadjoin @ X974 @ X975)))&(((((in @ X979 @ X978)|(X980)|((X979)=(X977))|~(in @ X979 @ (setadjoin @ X977 @ X978)))&(~(X980)|(X980)|((X979)=(X977))|~(in @ X979 @ (setadjoin @ X977 @ X978))))&(((in @ X979 @ X978)|(X980)|~(X980)|~(in @ X979 @ (setadjoin @ X977 @ X978)))&(~(X980)|(X980)|~(X980)|~(in @ X979 @ (setadjoin @ X977 @ X978)))))&((~(in @ X983 @ (setadjoin @ X981 @ X982))|(((X983)=(X981))|(in @ X983 @ X982)))&(((dsetconstr @ X984 @ (^[Z0/* 1 */:$i]:($true)))=(X984))&((((in @ (esk20_2 @ X985 @ X986) @ X986)|(in @ X986 @ (powerset @ X985)))&(~(in @ (esk20_2 @ X985 @ X986) @ X985)|(in @ X986 @ (powerset @ X985))))&((in @ emptyset @ (powerset @ X988))&((in @ emptyset @ (powerset @ X989))&((~(in @ X991 @ (powerset @ X990))|(~(in @ X992 @ X991)|(in @ X992 @ X990)))&((~(in @ X994 @ X995)|(~(in @ X995 @ X993)|(in @ X994 @ (setunion @ X993))))&((((in @ X997 @ (esk21_3 @ X996 @ X997 @ X998))|(X998)|~(in @ X997 @ (setunion @ X996)))&(((in @ (esk21_3 @ X996 @ X997 @ X998) @ X996)|(X998)|~(in @ X997 @ (setunion @ X996)))&(~(X998)|(X998)|~(in @ X997 @ (setunion @ X996)))))&((~(in @ X1001 @ X1000)|(in @ X1001 @ (powerset @ (setunion @ X1000))))&((((~(X1002 @ X1006)|((X1006)=(esk23_1 @ X1002))|((X1002 @ (esk22_2 @ X1002 @ X1003))|~(X1002 @ X1003)))&(((X1007)!=(esk23_1 @ X1002))|(X1002 @ X1007)|((X1002 @ (esk22_2 @ X1002 @ X1003))|~(X1002 @ X1003))))&((~(X1002 @ X1006)|((X1006)=(esk23_1 @ X1002))|(((X1003)!=(esk22_2 @ X1002 @ X1003))|~(X1002 @ X1003)))&(((X1007)!=(esk23_1 @ X1002))|(X1002 @ X1007)|(((X1003)!=(esk22_2 @ X1002 @ X1003))|~(X1002 @ X1003)))))&((((in @ (esk24_1 @ X1008) @ X1008)|((X1008)=(emptyset)))&(($true)|((X1008)=(emptyset))))&((~(in @ X1010 @ (setadjoin @ X1011 @ emptyset))|((X1010)=(X1011)))&((((X1012)=(X1013))|~(in @ X1013 @ (setadjoin @ X1012 @ emptyset)))&((((X1014)!=(X1015))|(in @ X1014 @ (setadjoin @ X1015 @ emptyset)))&((~(in @ X1016 @ (setadjoin @ X1017 @ emptyset))|(in @ X1017 @ (setadjoin @ X1016 @ emptyset)))&((~(in @ X1020 @ (setadjoin @ X1018 @ (setadjoin @ X1019 @ emptyset)))|(((X1020)=(X1018))|((X1020)=(X1019))))&((in @ X1021 @ (setadjoin @ X1021 @ (setadjoin @ X1022 @ emptyset)))&((in @ X1024 @ (setadjoin @ X1023 @ (setadjoin @ X1024 @ emptyset)))&((~(in @ X1027 @ X1025)|~(X1026 @ X1027)|(((dsetconstr @ X1025 @ X1026)!=(emptyset))|~($true)))&((~(in @ X1029 @ emptyset)|(X1028 @ X1029))&((((in @ (esk25_2 @ X1030 @ X1031) @ X1030)|(~(in @ X1032 @ X1030)|(X1031 @ X1032)))&(~(X1031 @ (esk25_2 @ X1030 @ X1031))|(~(in @ X1032 @ X1030)|(X1031 @ X1032))))&((((in @ (esk26_2 @ X1034 @ X1035) @ X1034)|(~(in @ X1037 @ X1034)|~(X1035 @ X1037)))&((X1035 @ (esk26_2 @ X1034 @ X1035))|(~(in @ X1037 @ X1034)|~(X1035 @ X1037))))&((((in @ (esk27_2 @ X1038 @ X1039) @ X1038)|(~(in @ X1041 @ X1038)|~(X1039 @ X1041)))&((X1039 @ (esk27_2 @ X1038 @ X1039))|(~(in @ X1041 @ X1038)|~(X1039 @ X1041))))&((((in @ (esk28_2 @ X1042 @ X1043) @ X1042)|(~(in @ X1044 @ X1042)|(X1043 @ X1044)))&(~(X1043 @ (esk28_2 @ X1042 @ X1043))|(~(in @ X1044 @ X1042)|(X1043 @ X1044))))&((~(X1046)|(in @ emptyset @ (prop2set @ ((X1046)))))&((prop2set2propI)&((((in @ (esk29_2 @ X1047 @ X1048) @ X1047)|(~(in @ X1050 @ X1047)|~(X1048 @ X1050)))&((X1048 @ (esk29_2 @ X1047 @ X1048))|(~(in @ X1050 @ X1047)|~(X1048 @ X1050))))&((((in @ (esk30_2 @ X1051 @ X1052) @ X1051)|(~(in @ X1053 @ X1051)|(X1052 @ X1053)))&(~(X1052 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(setminus @ X1233 @ X1234))|(~(in @ X1235 @ X1233)|(in @ X1235 @ X1234)))&(((in @ X1238 @ (setminus @ X1236 @ X1237))|((in @ X1238 @ X1237)|~(in @ X1238 @ X1236)))&(((in @ X1241 @ X1239)|~(in @ X1241 @ (setminus @ X1239 @ X1240)))&((~(in @ X1244 @ X1243)|~(in @ X1244 @ (setminus @ X1242 @ X1243)))&((subset @ (setminus @ X1245 @ X1246) @ X1245)&((((setminus @ X1247 @ X1248)!=(emptyset))|(subset @ X1247 @ X1248))&((((~(in @ X1251 @ X1249)|(X1252)|(in @ X1251 @ X1249)|~(in @ X1251 @ (symdiff @ X1249 @ X1250)))&(((in @ X1251 @ X1250)|(X1252)|(in @ X1251 @ X1249)|~(in @ X1251 @ (symdiff @ X1249 @ X1250)))&(~(X1252)|(X1252)|(in @ X1251 @ X1249)|~(in @ X1251 @ (symdiff @ X1249 @ X1250)))))&(((~(in @ X1251 @ X1249)|(X1252)|~(in @ X1251 @ X1250)|~(in @ X1251 @ (symdiff @ X1249 @ X1250)))&(((in @ X1251 @ X1250)|(X1252)|~(in @ X1251 @ X1250)|~(in @ X1251 @ (symdiff @ X1249 @ X1250)))&(~(X1252)|(X1252)|~(in @ X1251 @ X1250)|~(in @ X1251 @ (symdiff @ X1249 @ X1250)))))&((~(in @ X1251 @ X1249)|(X1252)|~(X1252)|~(in @ X1251 @ (symdiff @ X1249 @ X1250)))&(((in @ X1251 @ X1250)|(X1252)|~(X1252)|~(in @ X1251 @ (symdiff @ X1249 @ X1250)))&(~(X1252)|(X1252)|~(X1252)|~(in @ X1251 @ (symdiff @ X1249 @ X1250)))))))&((~(in @ X1255 @ X1253)|((in @ X1255 @ X1254)|(in @ X1255 @ (symdiff @ X1253 @ X1254))))&(((in @ X1258 @ X1256)|(~(in @ X1258 @ X1257)|(in @ X1258 @ (symdiff @ X1256 @ X1257))))&((~(in @ X1261 @ X1259)|(~(in @ X1261 @ X1260)|~(in @ X1261 @ (symdiff @ X1259 @ X1260))))&(((in @ X1264 @ X1262)|((in @ X1264 @ X1263)|~(in @ X1264 @ (symdiff @ X1262 @ X1263))))&((in @ X1266 @ (setadjoin @ X1265 @ (setadjoin @ X1266 @ emptyset)))&((in @ X1267 @ (setunion @ (setadjoin @ (setadjoin @ X1267 @ emptyset) @ (setadjoin @ (setadjoin @ X1267 @ (setadjoin @ X1268 @ emptyset)) @ emptyset))))&((in @ X1270 @ (setunion @ (setadjoin @ (setadjoin @ X1269 @ emptyset) @ (setadjoin @ (setadjoin @ X1269 @ (setadjoin @ X1270 @ emptyset)) @ emptyset))))&(((in @ (esk55_2 @ X1271 @ X1272) @ (setunion @ (setadjoin @ (setadjoin @ X1271 @ emptyset) @ (setadjoin @ (setadjoin @ X1271 @ (setadjoin @ X1272 @ emptyset)) @ emptyset))))&((in @ (esk56_2 @ X1271 @ X1272) @ (setunion @ (setadjoin @ (setadjoin @ X1271 @ emptyset) @ (setadjoin @ (setadjoin @ X1271 @ (setadjoin @ X1272 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X1271 @ emptyset) @ (setadjoin @ (setadjoin @ X1271 @ (setadjoin @ X1272 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk55_2 @ X1271 @ X1272) @ emptyset) @ (setadjoin @ (setadjoin @ (esk55_2 @ X1271 @ X1272) @ (setadjoin @ (esk56_2 @ X1271 @ X1272) @ emptyset)) @ emptyset)))))&(((in @ (esk57_2 @ X1275 @ X1276) @ (setunion @ (setadjoin @ (setadjoin @ X1275 @ emptyset) @ (setadjoin @ (setadjoin @ X1275 @ (setadjoin @ X1276 @ emptyset)) @ emptyset))))&((in @ (esk58_2 @ X1275 @ X1276) @ (setunion @ (setadjoin @ (setadjoin @ X1275 @ emptyset) @ (setadjoin @ (setadjoin @ X1275 @ (setadjoin @ X1276 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X1275 @ emptyset) @ (setadjoin @ (setadjoin @ X1275 @ (setadjoin @ X1276 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk57_2 @ X1275 @ X1276) @ emptyset) @ (setadjoin @ (setadjoin @ (esk57_2 @ X1275 @ X1276) @ (setadjoin @ (esk58_2 @ X1275 @ X1276) @ emptyset)) @ emptyset)))))&((~(in @ X1280 @ X1279)|(subset @ (setadjoin @ X1280 @ emptyset) @ X1279))&((~(in @ X1282 @ X1281)|(in @ (setadjoin @ X1282 @ emptyset) @ (powerset @ X1281)))&((~(in @ X1285 @ X1283)|(in @ (setadjoin @ X1285 @ emptyset) @ (powerset @ (binunion @ X1283 @ X1284))))&((~(in @ X1288 @ (setadjoin @ X1286 @ (setadjoin @ X1287 @ emptyset)))|(((X1288)=(X1286))|((X1288)=(X1287))))&((~(in @ X1291 @ X1289)|(~(in @ X1292 @ X1290)|(subset @ (setadjoin @ X1291 @ (setadjoin @ X1292 @ emptyset)) @ (binunion @ X1289 @ X1290))))&((~(in @ X1295 @ X1293)|(~(in @ X1296 @ X1294)|(in @ (setadjoin @ X1295 @ (setadjoin @ X1296 @ emptyset)) @ (powerset @ (binunion @ X1293 @ X1294)))))&((~(in @ X1299 @ X1297)|(~(in @ X1300 @ X1298)|(subset @ (setadjoin @ (setadjoin @ X1299 @ emptyset) @ (setadjoin @ (setadjoin @ X1299 @ (setadjoin @ X1300 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1297 @ X1298)))))&((~(in @ X1303 @ X1301)|(~(in @ X1304 @ X1302)|(in @ (setadjoin @ (setadjoin @ X1303 @ emptyset) @ (setadjoin @ (setadjoin @ X1303 @ (setadjoin @ X1304 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1301 @ X1302))))))&((~(in @ X1307 @ X1305)|(~(in @ X1308 @ X1306)|(in @ (setadjoin @ (setadjoin @ X1307 @ emptyset) @ (setadjoin @ (setadjoin @ X1307 @ (setadjoin @ X1308 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1305 @ X1306))))))&((~(in @ X1311 @ X1309)|(~(in @ X1312 @ X1310)|(in @ (setadjoin @ (setadjoin @ X1311 @ emptyset) @ (setadjoin @ (setadjoin @ X1311 @ (setadjoin @ X1312 @ emptyset)) @ emptyset)) @ (dsetconstr @ (powerset @ (powerset @ (binunion @ X1309 @ X1310))) @ (^[Z0/* 5 */:$i]:(?[X663:$i]:(((in @ X663 @ X1309)&?[X664:$i]:(((in @ X664 @ X1310)&((Z0)=(setadjoin @ (setadjoin @ X663 @ emptyset) @ (setadjoin @ (setadjoin @ X663 @ (setadjoin @ X664 @ emptyset)) @ emptyset)))))))))))))&((in @ esk61_0 @ (dsetconstr @ (powerset @ (powerset @ (binunion @ esk59_0 @ esk60_0))) @ (^[Z0/* 5 */:$i]:(?[X657:$i]:(((in @ X657 @ esk59_0)&?[X658:$i]:(((in @ X658 @ esk60_0)&((Z0)=(setadjoin @ (setadjoin @ X657 @ emptyset) @ (setadjoin @ (setadjoin @ X657 @ (setadjoin @ X658 @ emptyset)) @ emptyset)))))))))))&(~(in @ X1316 @ esk59_0)|(((esk61_0)!=(setadjoin @ (setadjoin @ X1316 @ emptyset) @ (setadjoin @ (setadjoin @ X1316 @ (setadjoin @ X1317 @ emptyset)) @ emptyset)))|~(in @ X1317 @ esk60_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_201])])])])])])])).
2.24/0.87	thf(c_0_203, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((X1 @ X2)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_202])).
2.24/0.87	thf(c_0_204, negated_conjecture, (in @ esk61_0 @ (dsetconstr @ (powerset @ (powerset @ (binunion @ esk59_0 @ esk60_0))) @ (^[Z0/* 5 */:$i]:(?[X1341:$i]:(((in @ X1341 @ esk59_0)&?[X1342:$i]:(((in @ X1342 @ esk60_0)&((Z0)=(setadjoin @ (setadjoin @ X1341 @ emptyset) @ (setadjoin @ (setadjoin @ X1341 @ (setadjoin @ X1342 @ emptyset)) @ emptyset))))))))))), inference(split_conjunct,[status(thm)],[c_0_202])).
2.24/0.87	thf(c_0_205, negated_conjecture, ?[X1343:$i]:(((in @ X1343 @ esk59_0)&?[X1344:$i]:(((in @ X1344 @ esk60_0)&((esk61_0)=(setadjoin @ (setadjoin @ X1343 @ emptyset) @ (setadjoin @ (setadjoin @ X1343 @ (setadjoin @ X1344 @ emptyset)) @ emptyset))))))), inference(spm,[status(thm)],[c_0_203, c_0_204])).
2.24/0.87	thf(c_0_206, negated_conjecture, ![X2:$i, X3:$i]:((~((in @ X2 @ esk59_0))|((esk61_0)!=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))|~((in @ X3 @ esk60_0)))), inference(split_conjunct,[status(thm)],[c_0_202])).
2.24/0.87	thf(c_0_207, negated_conjecture, ((setadjoin @ (setadjoin @ esk67_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk67_0 @ (setadjoin @ esk68_0 @ emptyset)) @ emptyset))=(esk61_0)), inference(dynamic_cnf,[status(thm)],[c_0_205])).
2.24/0.87	thf(c_0_208, negated_conjecture, (in @ esk68_0 @ esk60_0), inference(dynamic_cnf,[status(thm)],[c_0_205])).
2.24/0.87	thf(c_0_209, negated_conjecture, (in @ esk67_0 @ esk59_0), inference(dynamic_cnf,[status(thm)],[c_0_205])).
2.24/0.87	thf(c_0_210, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206, c_0_207]), c_0_208]), c_0_209])]), ['proof']).
2.24/0.87	# SZS output end CNFRefutation
2.24/0.87	# Parsed axioms                        : 323
2.24/0.87	# Removed by relevancy pruning/SinE    : 171
2.24/0.87	# Initial clauses                      : 275
2.24/0.87	# Removed in clause preprocessing      : 24
2.24/0.87	# Initial clauses in saturation        : 251
2.24/0.87	# Processed clauses                    : 884
2.24/0.87	# ...of these trivial                  : 17
2.24/0.87	# ...subsumed                          : 201
2.24/0.87	# ...remaining for further processing  : 666
2.24/0.87	# Other redundant clauses eliminated   : 20
2.24/0.87	# Clauses deleted for lack of memory   : 0
2.24/0.87	# Backward-subsumed                    : 3
2.24/0.87	# Backward-rewritten                   : 4
2.24/0.87	# Generated clauses                    : 10188
2.24/0.87	# ...of the previous two non-redundant : 9948
2.24/0.87	# ...aggressively subsumed             : 0
2.24/0.87	# Contextual simplify-reflections      : 0
2.24/0.87	# Paramodulations                      : 10163
2.24/0.87	# Factorizations                       : 2
2.24/0.87	# NegExts                              : 0
2.24/0.87	# Equation resolutions                 : 20
2.24/0.87	# Disequality decompositions           : 0
2.24/0.87	# Total rewrite steps                  : 343
2.24/0.87	# ...of those cached                   : 274
2.24/0.87	# Propositional unsat checks           : 0
2.24/0.87	#    Propositional check models        : 0
2.24/0.87	#    Propositional check unsatisfiable : 0
2.24/0.87	#    Propositional clauses             : 0
2.24/0.87	#    Propositional clauses after purity: 0
2.24/0.87	#    Propositional unsat core size     : 0
2.24/0.87	#    Propositional preprocessing time  : 0.000
2.24/0.87	#    Propositional encoding time       : 0.000
2.24/0.87	#    Propositional solver time         : 0.000
2.24/0.87	#    Success case prop preproc time    : 0.000
2.24/0.87	#    Success case prop encoding time   : 0.000
2.24/0.87	#    Success case prop solver time     : 0.000
2.24/0.87	# Current number of processed clauses  : 430
2.24/0.87	#    Positive orientable unit clauses  : 52
2.24/0.87	#    Positive unorientable unit clauses: 0
2.24/0.87	#    Negative unit clauses             : 2
2.24/0.87	#    Non-unit-clauses                  : 376
2.24/0.87	# Current number of unprocessed clauses: 9486
2.24/0.87	# ...number of literals in the above   : 36534
2.24/0.87	# Current number of archived formulas  : 0
2.24/0.87	# Current number of archived clauses   : 223
2.24/0.87	# Clause-clause subsumption calls (NU) : 22628
2.24/0.87	# Rec. Clause-clause subsumption calls : 11215
2.24/0.87	# Non-unit clause-clause subsumptions  : 128
2.24/0.87	# Unit Clause-clause subsumption calls : 185
2.24/0.87	# Rewrite failures with RHS unbound    : 0
2.24/0.87	# BW rewrite match attempts            : 18
2.24/0.87	# BW rewrite match successes           : 4
2.24/0.87	# Condensation attempts                : 884
2.24/0.87	# Condensation successes               : 4
2.24/0.87	# Termbank termtop insertions          : 236779
2.24/0.87	# Search garbage collected termcells   : 14429
2.24/0.87	
2.24/0.87	# -------------------------------------------------
2.24/0.87	# User time                : 0.332 s
2.24/0.87	# System time              : 0.023 s
2.24/0.87	# Total time               : 0.355 s
2.24/0.87	# Maximum resident set size: 5504 pages
2.24/0.87	
2.24/0.87	# -------------------------------------------------
2.24/0.87	# User time                : 0.341 s
2.24/0.87	# System time              : 0.025 s
2.24/0.87	# Total time               : 0.367 s
2.24/0.87	# Maximum resident set size: 2200 pages
2.24/0.87	% E exiting
2.24/0.87	% E exiting
2.24/0.87	EOF